Answer: Choice B) Line showing all the solutions to the equation
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Any (x,y) point on y = -2x+10 will land on the same straight line. These points make the equation true so they are solutions to the equation. In other words, if a point is on the line then it is a solution. Two such points are (0,10) and (1,8). Plot those two points and draw a straight line through them. Notice how another point such as (3,4) is also on the line which you can see visually or use the equation to find this point.
If you don't want to use the graph, then the idea is to plug in the x coordinate to generate the y coordinate. For instance, plug in x = 2 and we have
y = -2x+10
y = -2*2+10
y = -4+10
y = 6
So x = 2 leads to y = 6. They pair up to get (x,y) = (2,6) as one point on the line. This point is one of the infinitely many solutions.
Side notes:
y = -2x+10 has a slope of -2
y = -2x+10 has a y intercept of 10
The graph goes downhill as you read it from left to right. This is because the slope is negative.
